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Finding the Fourth Proportional to 22,468.75, 33,707.08 and 7,674.20

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Solution

The fourth proportional to 22,468.75, 33,707.08 and 7,674.20 is: 11,512.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,468.75 : 33,707.08 = 7,674.20 : x
  2. Step 2: Convert to fraction form
    22,468.75/33,707.08 = 7,674.20/x
  3. Step 3: Cross multiply
    22,468.75x = 33,707.08 × 7,674.20
  4. Step 4: Simplify right side
    22,468.75x = 258,674,873.34
  5. Step 5: Solve for x
    x = 258,674,873.34/22,468.75
  6. Step 6: Final answer
    x = 11,512.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.